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Finding the Third Proportional to 99,980.16 and 159,001.73

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Solution

The third proportional to 99,980.16 and 159,001.73 is: 252,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,980.16 : 159,001.73 = 159,001.73 : x
  2. Step 2: Convert to fraction form
    99,980.16/159,001.73 = 159,001.73/x
  3. Step 3: Cross multiply
    99,980.16x = 159,001.73 × 159,001.73
  4. Step 4: Simplify right side
    99,980.16x = 25,281,551,534.26
  5. Step 5: Solve for x
    x = 25,281,551,534.26/99,980.16
  6. Step 6: Final answer
    x = 252,865.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.